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tamaranim1 [39]
3 years ago
8

5x​2​​−320 factored completely?

Mathematics
2 answers:
velikii [3]3 years ago
8 0
First take out the GCF (5)
5(x^2-64)
It's a perfect square so we can go further
5(x+8)(x-8)
IgorLugansk [536]3 years ago
8 0
First factor out the 5 so you have 5(x2-64). Since (a+b)(a-b)=(a^2-b^2)
(x^2-64)=(x-8)(x+8). So completely factored is 5(x-8)(x+8).
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3 years ago
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Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​ (in kg) of the seals. Construc
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Answer and Step-by-step explanation: Scaterplot is a type of graphic which shows the relationship between to variables. In this question, you want to determine if there is a linear relationship between overhead widths of seals and the weights. So, the hypothesis are:

H₀: no linear correlation;

H₁: there is linear correlation;

In this hypothesis test, to reject H₀, the correlation coefficient r of the data set has to be bigger than the critical value from the table.

With α = 0.05 and n = 6, the critical value is 0.811.

The linear correlation is calculated as:

r = n∑xy - ∑x.∑y / √[n∑x² - (∑x)²] [n∑y² - (∑y)²]

r = \frac{6.9632 - 51.1108}{\sqrt{6.439 - (51^{2} )}.6.14482 - (1108^{2} ) }

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Since r is bigger than the critical value, H₀ is rejected, which means there is enough evidence to conclude that there is linear correlation between overhead widths and the weights.

In the attachments is the scaterplot of the measurements, also showing the relationship.

5 0
4 years ago
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